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Mathematics - Secondary Curriculum Mathematics Grade 8
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Investigate patterns of association in bivariate data (Standards 8.SP.1-4).

Standard 8.SP.4

Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?

  • Chapter 6 - Mathematical Foundation (UMSMP)
    This is Chapter 6 of the Utah Middle School Math: Grade 8 textbook. It provides a Mathematical Foundation for Statistics: Investigate patterns of Association in Bivariate Data.
  • Chapter 6 - Student Workbook (UMSMP)
    This is Chapter 6 of the Utah Middle School Math: Grade 8 student workbook. It focuses on Statistics: Investigate patterns of Association in Bivariate Data.
  • Grade 8 Unit 6: Linear Models and Tables (Georgia Standards)
    In this unit students will identify the rate of change and the initial value from tables, graphs, equations, or verbal descriptions; write a model for a linear function; sketch a graph when given a verbal description of a situation; analyze scatter plots; informally develop a line of best fit; use bivariate data to create graphs and linear models; and recognize patterns and interpret bivariate data.
  • Lesson Starter: Populated Communities
    Students will use statistics and probability knowledge, as well as critical thinking skills, to solve problems.
  • Music and Sports
    Is there an association between whether a student plays a sport and whether he or she plays a musical instrument? This task asks students to answer two questions about this and record answers on a table. They then create a graph that would help visualize the association, if any, between playing a sport and playing a musical instrument.
  • Statistics and Probability (8.SP) - 8th Grade Core Guide
    The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Mathematics Grade 8 Statistics and Probability.
  • Student Task: Bird's Eggs
    In this task students will user a scatter graph to investigate a possible connection between the length and width of bird's eggs.
  • Student Task: Birds' Eggs
    In this task, students use a scatter graph to look for patterns in the size of birds' eggs.
  • Student Task: Scatter Diagram
    In this task, students will use a scatter diagram to compare the results of two school tests.
  • Student Task: Short Tasks - Statistics and Probability
    A set of short tasks for grades 7 and 8 reinforcing statistics and probability.
  • Student Task: Sugar Prices
    In this task, students must use a graph showing the prices and weights of bags of sugar to find the bag offering the best value for money.
  • Univariate and Bivariate Data
    This lesson helps students understand these two types of data and choose the best type of graph or measure appropriate to each.
  • What's Your Favorite Subject?
    Given a table of data, students are asked whether there is there an association between a favorite academic subject and their grade for students at a school. They must support their answer by calculating appropriate relative frequencies using the given data.

UEN logo - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey  Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.